Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions
DOI10.1155/2007/90815zbMath1152.65089OpenAlexW2038504092MaRDI QIDQ936190
Publication date: 13 August 2008
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/54905
well-posednessBanach spacenonlocal boundary value problemstrongly positive operatorcoercive stabilityimplicit difference schemefractional spacecoercive inequality
Abstract parabolic equations (35K90) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Finite difference and finite volume methods for ordinary differential equations (65L12)
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